Aptitude Practice Question and Answer

Q:

The shadow of the tower becomes 60 meters longer when the altitude of the sun changes from 45 ° to 30 °. Then the height of the tower is 

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  • 1
    30(√3+1) m
    Correct
    Wrong
  • 2
    30(√3-1) m
    Correct
    Wrong
  • 3
    20(√3+1) m
    Correct
    Wrong
  • 4
    24(√3+1) m
    Correct
    Wrong
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Answer : 1. "30(√3+1) m "

Q:

Which of the following represents a correct proportion?

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  • 1
    12 : 9 :: 16 : 12
    Correct
    Wrong
  • 2
    13 : 11 :: 5 : 4
    Correct
    Wrong
  • 3
    30 : 45 :: 13 : 24
    Correct
    Wrong
  • 4
    3 : 5 :: 2 : 5
    Correct
    Wrong
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Answer : 1. "12 : 9 :: 16 : 12"

Q:

The angle of elevation of a tower from a distance 50 m from its foot is 30°. The height of the tower is 

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  • 1
    50 √ 3 m
    Correct
    Wrong
  • 2
    $$ 50\over √3$$ m
    Correct
    Wrong
  • 3
    75 √3 m
    Correct
    Wrong
  • 4
    $$ 75\over √3$$ m
    Correct
    Wrong
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Answer : 2. "$$ 50\over √3$$ m"

Q:

Ram does a work in 40 days and Shyam does same work in 60 days. If efficiency of Mohan is 20% less than the combined efficiency of Ram and Shyam together then working alone Mohan will complete the whole work in how many days?

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  • 1
    32 days
    Correct
    Wrong
  • 2
    27.5 days
    Correct
    Wrong
  • 3
    24 days
    Correct
    Wrong
  • 4
    30 days
    Correct
    Wrong
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Answer : 4. "30 days"

Q:

How many numbers are there from 500 to 650 (including both) which are neither divisible by 3 nor by 7?

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  • 1
    21
    Correct
    Wrong
  • 2
    121
    Correct
    Wrong
  • 3
    87
    Correct
    Wrong
  • 4
    99
    Correct
    Wrong
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Answer : 3. "87 "

Q:

A number divided by 13 leaves a remainder 1 and if the quotient, thus obtained, is divided by 5, we get a remainder of 3. What will be the remainder if the number is divided by 65?

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  • 1
    28
    Correct
    Wrong
  • 2
    16
    Correct
    Wrong
  • 3
    18
    Correct
    Wrong
  • 4
    40
    Correct
    Wrong
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Answer : 4. "40"
Explanation :

Let the least number be x

y = 5 × 1 + 3 = 8

x = 13 × 8 + 1 = 105

On dividing 105 by 65, remainder = 40

Q:

Average age of 6 boys is 14 years. Average age of 11 girls is 12 years. What is the average age (in years) of all boys and girls?

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  • 1
    19.3
    Correct
    Wrong
  • 2
    14.6
    Correct
    Wrong
  • 3
    12.7
    Correct
    Wrong
  • 4
    8.5
    Correct
    Wrong
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Answer : 3. "12.7"

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